%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV886-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:43 PM UTC 2026
% Result : Unsatisfiable 5.24s 1.52s
% Output : Refutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 19 unt; 0 def)
% Number of atoms : 32 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f257,axiom,
! [X0] : c_Suc(X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1__left_0) ).
fof(f430,axiom,
! [X2,X0,X1] :
( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2) = c_Finite__Set_Ocard(X0,X2)
| c_in(X1,X0,X2)
| ~ c_Finite__Set_Ofinite(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__Diff__singleton__if_1) ).
fof(f441,axiom,
! [X2,X0,X1] :
( c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2))
| ~ c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__insert_0) ).
fof(f648,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_Suc(X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__Suc_0) ).
fof(f649,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X0),c_Suc(X1),tc_nat),
inference(reorient_equations,[],[f648]) ).
fof(f655,axiom,
! [X0,X1] :
( c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))
| ~ c_lessequals(X1,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__le_0) ).
fof(f656,plain,
! [X0,X1] :
( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
| ~ c_lessequals(X1,X0,tc_nat) ),
inference(reorient_equations,[],[f655]) ).
fof(f700,negated_conjecture,
c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f701,negated_conjecture,
c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f703,negated_conjecture,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f704,negated_conjecture,
c_Finite__Set_Ofinite(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f705,negated_conjecture,
c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) != c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f738,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_na,tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
inference(definition_unfolding,[],[f700,f257]) ).
fof(f739,plain,
c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_na,tc_nat),tc_nat),
inference(definition_unfolding,[],[f701,f257]) ).
fof(f742,plain,
! [X2,X0,X1] :
( c_Finite__Set_Ocard(c_Set_Oinsert(X0,X1,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),tc_nat)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(definition_unfolding,[],[f441,f257]) ).
fof(f747,plain,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X0,tc_nat) ),
inference(definition_unfolding,[],[f656,f257,f257]) ).
fof(f764,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),
inference(definition_unfolding,[],[f649,f257,f257]) ).
fof(f896,plain,
! [X0] : c_Finite__Set_Ocard(c_Set_Oinsert(X0,v_G,t_a),t_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(v_G,c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),tc_fun(t_a,tc_bool)),t_a),tc_nat),
inference(unit_resulting_resolution,[],[f742,f704]) ).
fof(f903,plain,
c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(v_G,c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),tc_fun(t_a,tc_bool)),t_a),tc_nat),
inference(backward_demodulation,[],[f705,f896]) ).
fof(f1055,plain,
c_Finite__Set_Ocard(v_G,t_a) = c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(v_G,c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),tc_fun(t_a,tc_bool)),t_a),
inference(unit_resulting_resolution,[],[f430,f704,f703]) ).
fof(f1067,plain,
c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat),
inference(backward_demodulation,[],[f903,f1055]) ).
fof(f1205,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_na,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_na,tc_nat),tc_nat),tc_nat),
inference(unit_resulting_resolution,[],[f747,f738]) ).
fof(f1288,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_na,tc_nat),tc_nat),
inference(forward_demodulation,[],[f1205,f739]) ).
fof(f1359,plain,
c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat),
inference(forward_demodulation,[],[f1288,f764]) ).
fof(f1396,plain,
$false,
inference(forward_subsumption_resolution,[],[f1359,f1067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV886-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 12:53:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.40/1.33 % (1561395)Input is clausal, will run a generic CNF schedule.
% 4.40/1.33 % (1561400)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3697578632:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.40/1.33 % (1561405)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3226279728:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.40/1.33 % (1561403)lrs+10_1_sil=8000:sp=occurrence:random_seed=3049369404:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.40/1.33 % (1561401)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4141887805:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.40/1.33 % (1561404)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2348602588:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.40/1.33 % (1561402)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3905819227:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.40/1.33 % (1561406)dis-21_1_sil=8000:lcm=predicate:random_seed=1508276951:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.40/1.33 % (1561403)Instruction limit reached!
% 4.40/1.33 % (1561403)------------------------------
% 4.40/1.33 % (1561403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.33 % (1561403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.33 % (1561403)CaDiCaL version: 2.1.3
% 4.40/1.33 % (1561403)Termination reason: Instruction limit
% 4.40/1.33 % (1561403)Termination phase: Saturation
% 4.40/1.33 % (1561403)Time elapsed: 0.070 s
% 4.40/1.33 % (1561403)Peak memory usage: 89 MB
% 4.40/1.33 % (1561403)Instructions burned: 107 (million)
% 4.40/1.33 % (1561404)Instruction limit reached!
% 4.40/1.33 % (1561404)------------------------------
% 4.40/1.33 % (1561404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.33 % (1561404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.33 % (1561404)CaDiCaL version: 2.1.3
% 4.40/1.33 % (1561404)Termination reason: Instruction limit
% 4.40/1.33 % (1561404)Termination phase: Saturation
% 4.40/1.33 % (1561404)Time elapsed: 0.075 s
% 4.40/1.33 % (1561404)Peak memory usage: 89 MB
% 4.40/1.33 % (1561404)Instructions burned: 114 (million)
% 4.40/1.33 % (1561406)Instruction limit reached!
% 4.40/1.33 % (1561406)------------------------------
% 4.40/1.33 % (1561406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.33 % (1561406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.33 % (1561406)CaDiCaL version: 2.1.3
% 4.40/1.33 % (1561406)Termination reason: Instruction limit
% 4.40/1.33 % (1561406)Termination phase: Saturation
% 4.40/1.33 % (1561406)Time elapsed: 0.067 s
% 4.40/1.33 % (1561406)Peak memory usage: 89 MB
% 4.40/1.33 % (1561406)Instructions burned: 117 (million)
% 4.40/1.33 % (1561405)Instruction limit reached!
% 4.40/1.33 % (1561405)------------------------------
% 4.40/1.33 % (1561405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.33 % (1561405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.33 % (1561405)CaDiCaL version: 2.1.3
% 4.40/1.33 % (1561405)Termination reason: Instruction limit
% 4.40/1.33 % (1561405)Termination phase: Saturation
% 4.40/1.33 % (1561405)Time elapsed: 0.118 s
% 4.40/1.33 % (1561405)Peak memory usage: 90 MB
% 4.40/1.33 % (1561405)Instructions burned: 180 (million)
% 4.40/1.33 % (1561414)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=565782298:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.40/1.33 % (1561415)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3518331842:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.40/1.33 % (1561416)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=897876417:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.40/1.33 % (1561417)lrs+10_64_to=lpo:sil=8000:random_seed=2676737380:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.40/1.33 % (1561415)First to succeed.
% 4.40/1.33 % (1561415)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1561395"
% 5.24/1.52 % (1561414)Instruction limit reached!
% 5.24/1.52 % (1561414)------------------------------
% 5.24/1.52 % (1561414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (1561414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (1561414)CaDiCaL version: 2.1.3
% 5.24/1.52 % (1561414)Termination reason: Instruction limit
% 5.24/1.52 % (1561414)Termination phase: Saturation
% 5.24/1.52 % (1561414)Time elapsed: 0.090 s
% 5.24/1.52 % (1561414)Peak memory usage: 89 MB
% 5.24/1.52 % (1561414)Instructions burned: 144 (million)
% 5.24/1.52 % (1561417)Instruction limit reached!
% 5.24/1.52 % (1561417)------------------------------
% 5.24/1.52 % (1561417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (1561417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (1561417)CaDiCaL version: 2.1.3
% 5.24/1.52 % (1561417)Termination reason: Instruction limit
% 5.24/1.52 % (1561417)Termination phase: Saturation
% 5.24/1.52 % (1561417)Time elapsed: 0.077 s
% 5.24/1.52 % (1561417)Peak memory usage: 89 MB
% 5.24/1.52 % (1561417)Instructions burned: 128 (million)
% 5.24/1.52 % (1561416)Instruction limit reached!
% 5.24/1.52 % (1561416)------------------------------
% 5.24/1.52 % (1561416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (1561416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (1561416)CaDiCaL version: 2.1.3
% 5.24/1.52 % (1561416)Termination reason: Instruction limit
% 5.24/1.52 % (1561416)Termination phase: Saturation
% 5.24/1.52 % (1561416)Time elapsed: 0.125 s
% 5.24/1.52 % (1561416)Peak memory usage: 90 MB
% 5.24/1.52 % (1561416)Instructions burned: 220 (million)
% 5.24/1.52 % (1561400)Also succeeded, but the first one will report.
% 5.24/1.52 % (1561422)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1478025303:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.24/1.52 % (1561423)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2283039888:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.24/1.52 % (1561424)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=227054422:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.24/1.52 % (1561415)Refutation found. Thanks to Tanya!
% 5.24/1.52 % SZS status Unsatisfiable for theBenchmark
% 5.24/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.24/1.52 % (1561415)------------------------------
% 5.24/1.52 % (1561415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (1561415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (1561415)CaDiCaL version: 2.1.3
% 5.24/1.52 % (1561415)Termination reason: Refutation
% 5.24/1.52 % (1561415)Time elapsed: 0.038 s
% 5.24/1.52 % (1561415)Peak memory usage: 90 MB
% 5.24/1.52 % (1561415)Instructions burned: 65 (million)
% 5.24/1.52 % (1561415)------------------------------
% 5.24/1.52 % (1561415)------------------------------
% 5.24/1.52 % (1561395)Success in time 0.665 s
% 5.24/1.52 % Vampire exiting
%------------------------------------------------------------------------------